Which of the following is equivalent to ? -7/-11

Answer:

5x+5

______

x^2-2x this the correct one

Answer:

7909081131

8709196751

7250401594

9835094365

8340436845

7258061562

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Answer: 140

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There are 140 oranges in the pile.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A grocer stacks oranges in a four-sided pyramid that is 7 layers high.

And, The explicit formula for a pyramidal sequence is,

⇒ P(n)=n(n+1)(2n+1)/6

Hence, Number of oranges in the pile are,

P(7) = 7*(7 + 1)(2 x 7 + 1)/6

P(7) = 7 x 8 x 15 / 6

P(7) = 7 x 4 x 5

P(7) = 140

Thus, There are 140 oranges in the pile.

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Answer:

[tex]33+4i[/tex]

*None of the answer choices are correct. It's most plausible that your teacher forgot to regard [tex]i=\sqrt{-1}[/tex] and got [tex]\text{d. }9+4i[/tex]. I'd recommend choosing this answer and talking about it with your teacher later.

Step-by-step explanation:

Recall that [tex]i=\sqrt{-1}[/tex].

Solving, we get:

[tex](3-2i)(7+6i),\\21-14i+18i-12(-1),\\21-14i+18i+12,\\\boxed{33+4i}[/tex]

Answer:

6

Step-by-step explanation:

======================================================

Explanation:

Exponents of 1/2 are the same as square roots

[tex]36^{1/2} = \sqrt{36} = 6[/tex]

If the exponent was say 1/3, then we'd be taking a cube root

[tex]36^{1/3} = \sqrt[3]{36}[/tex]

and this is what a fourth root would look like

[tex]36^{1/4} = \sqrt[4]{36}[/tex]

and so on

Answer:

40 cm

Step-by-step explanation:

volume = length x width x height

10,000 = 25 x 10 x h

h = 10,000/ (25 x 10)

h = 10,000 / 250

h = 40 cm

9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

__

60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

  ∆ABC ~ ∆JKL

The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)

Answer:

$5938

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 2700

r = 6.25% = 0.0625

n = 1

t = 13

Step 2: Find Interest

Answer:

f(x)=2x^2+3

Step-by-step explanation:

If you see the f(x), you can see that it is squished by a factor of 2, and it is translated upwards 3 units. that means that the final equation is f(x)=2x^2+3, which is B

The Equation of red parabola is y = 2x² + 3.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have a function,

g(x) = x²

It is a parabola with vertex at (0,0) and the sign is positive then the parabola opens up.

Then, General equation of parabola is

y= a(x - h)² + k

As, the The graph of F(x) opens up that is why it will have positive x²

and vertex at (0, 3)

So, the equation of parabola

y= 2(x - 0)² + 3

y = 2x + 3

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==============================

Work Shown:

m = (y2-y1)/(x2-x1)

m = (b-4)/(6-(-2))

m = (b-4)/(6+2)

m = (b-4)/8

Set this equal to the slope -3/4 and solve for b

(b-4)/8 = -3/4

4*(b-4) = 8*(-3) ... cross multiply

4b-16 = -24

4b = -24+16 ... adding 16 to both sides

4b = -8

b = -8/4

b = -2

---------------------

Since b = -2, we can replace b with -2

That makes the point (6,b) turn into (6,-2)

Now apply the slope formula to (-2,4) and (6,-2). We should get -3/4 as a result

m = (y2-y1)/(x2-x1)

m = (-2-4)/(6-(-2))

m = (-2-4)/(6+2)

m = -6/8

m = -3/4

So everything works out.

Answer:

b = -2

Step-by-step explanation:

Answer:

"0.057309921" is the correct answer.

Step-by-step explanation:

According to the question,

The coming probability will be:

= [tex]0.5\times 0.8[/tex]

= [tex]0.4[/tex]

n = 12

p = 0.4

Now,

⇒ [tex]P(X>7)=1-P(X<=7)[/tex]

Here, X = Number of guests

                    [tex]=1-binom.dist(7,12,0.4,1)[/tex]

                    [tex]=0.057309921[/tex]

Thus, the above is the correct answer.  

Answer:

B. Circle

Step-by-step explanation:

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.

Answer:

63 euros.

Step-by-step explanation:

4 dollars = 1.75 euros

1 dollar = 1.75 / 4 euros, so

144 dollars = (1.75/4) * 144

= 63 euros.

Answer:

-98 x (175-34)

Step-by-step explanation:

Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = [tex]\frac{100}{100+profit}*SP[/tex]

                [tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Answer:

Step-by-step explanation:

Though the difference is the same, the original value is different. Therefore they are not the same.

Percentage increase from  50 to 70

                                                 [tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]

Percentage decrease from 70 to 50

                                                 [tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]

Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft

Answer:

.5 or (1/2)

.5  or (1/2)

2.5 or (5/2)

Step-by-step explanation:

all you really have to do is mulitply the numbers by .5

1*.5= .5

5*.5= 2.5

Answer:

737.75

Step-by-step explanation:

12.35h + .04c = salary

12.35 (45) + .04(4550) = salary

555.75 + 182 = salary

Answer:

3rd jump: 4.642 rounds down to 4.6

Answer:

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The longest feather

To solve this, we simply identify the highest dataset represented on the line plot.

From the attached plot, we have:

[tex]Shortest = \frac{3}{4}[/tex]

and

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Hence, the longest is: [tex]2\frac{3}{4}\ in[/tex]

Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=>n*(n+2) = 2499

=>n^2+2^n-2499=0

=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0

=>(n+51)(n-49)=0

=>n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]95\%[/tex] Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

[tex]= \frac{228}{275}\\\\ = 0.829[/tex]

[tex]\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})[/tex]

                         [tex]= 1.96 \times \sqrt{(0.829 \times \frac{0.171}{275})} \\\\= 1.96 \times 0.023 \\\\= 0.045[/tex]

Lower [tex]95\%[/tex] Confidence interval = p - error margin [tex]= 0.829 - 0.045 = 0.784[/tex]

Upper [tex]95\%[/tex] Confidence Interval = p + error margin[tex]= 0.829 + 0.045 = 0.874[/tex]

So, [tex]95\%[/tex] Confidence Interval [tex]= ( 0.78 , 0.87 )[/tex]

Answer:

20% probability of red

40% probability of yellow

10% probability of blue

Step-by-step explanation:

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